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Finding the Third Proportional to 317,493 and 660,865.50

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Solution

The third proportional to 317,493 and 660,865.50 is: 1,375,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,493 : 660,865.50 = 660,865.50 : x
  2. Step 2: Convert to fraction form
    317,493/660,865.50 = 660,865.50/x
  3. Step 3: Cross multiply
    317,493x = 660,865.50 × 660,865.50
  4. Step 4: Simplify right side
    317,493x = 436,743,209,090.25
  5. Step 5: Solve for x
    x = 436,743,209,090.25/317,493
  6. Step 6: Final answer
    x = 1,375,599.49

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.